"No Color Adjustment" is exactly why it isn't working. You're bypassing all profiles that way, so the printer is getting raw data and nothing else. Look for printing color via ColorSync in the Epson print dialogue. Also, choose the correct printer profile for the type of paper you're using. You need to do it there since Preview has no color management settings.
I'm well aware of color management problems printing via Photoshop with the Epson printer.
That again is misuse, or no use of profiles/ColorSync. The whole point is to apply ColorSync
ONCE. You can either print out of Photoshop and let it handle color, or the Epson print driver.
1) For Photoshop. In the print dialogue under Color Management, click on the Document radio button. Under Color Handling, choose Photoshop Manages Color. Choose the correct printer profile for the paper you're using. Rendering intent is up to you. Relative Colorimetric tends to work best. Make sure Black Point Compensation is on. Click Print. When the Epson dialogue comes up, make sure to choose "No Color Management". Since Photoshop is already handling the ColorSync chores, you don't want the print driver to do anything other than print what's sent to it.
2) For Epson. In Photoshop, once again choose the Document radio button in the Print dialogue. Under Color Handling, choose Printer Manages Color. Click Print. When the Epson Dialogue comes up, choose ColorSync, wherever that is in the list of choices (in mine, it's under Printer Color Management). Under Print Settings, there's a drop down menu to choose your paper type. On mine it's called Media Type. Click Print.
Note that in either method, only one or the other is handling color management, not both.